Problemas
A21-2 Rational Exponents and Properties of Exponents White the radical expression as an exponential expression sqrt [5](x^4) sqrt [5](x^4)=square (Use integers or fractions for any numbers in the expression. Type your answer using exponential notation)
Solución
Julietamaestro · Tutor durante 5 años
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4.4 (334 votos)
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The exponential expression for \(\sqrt [5]{x^{4}}\) is \(x^{4/5}\).
Explicar
## Step 1<br />The problem asks us to convert a radical expression into an exponential expression. The given expression is \(\sqrt [5]{x^{4}}\).<br /><br />## Step 2<br />The general rule for converting a radical expression to an exponential expression is:<br />### \(\sqrt[n]{x^m} = x^{m/n}\)<br /><br />## Step 3<br />In this case, \(n\) is 5 (the root of the radical) and \(m\) is 4 (the exponent of the radicand).<br /><br />## Step 4<br />Substitute \(n\) and \(m\) into the formula to get the exponential expression.
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